The only way I know is the evaluate the determinant. Why is that so hard ?
Hi there,
I have a short algebra question.
I have matrix A1, and A2.
Both matrices are 2 by 2. Both matrices have all elements positive. Both matrices are symmetric. Matrix A1 has all elements greater than the CORRESPONDING ones of A2.
i.e. A1(11)>A2(11), A1(12)>A2(12), A1(21)>A2(21), A1(22)>A2(22).
I would like the following to be true (I don't know if it is)
A=A1-A2 is nonegative definite.
It is a bit hard to get the det(A) and see if it is positive. Is there any property that could help me?
Thanx in advance.
The only way I know is the evaluate the determinant. Why is that so hard ?
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